On singular integrals of Calderón-type in , and BMO

  • Dorina Mitrea

    University of Missouri, Columbia, United States


We prove (and weighted ) bounds for singular integrals of the form

where cos if is odd, and sin if is even, and where BMO. Even in the case that is smooth, the theory of singular integrals with "rough" kernels plays a key role in the proof. By standard techniques, the trigonometric function can then be replaced by a large class of smooth functions . Some related operators are also considered. As a further application, we prove a compactness result for certain layer potentials.

Cite this article

Dorina Mitrea, On singular integrals of Calderón-type in , and BMO. Rev. Mat. Iberoam. 10 (1994), no. 3, pp. 467–505

DOI 10.4171/RMI/159